[Village Idiot]

I agree you fold.
You said he hasn't gotten out of line yet and he is representing that he has hit something on the flop.
Having T's with two overcards appearing on the flop is a bad situation with no read on the guy who is continuing to fire at the pot.

Until you get a better read on this guy I think a fold is correct. You wait foir a better situation to get your money in against him.